+313 A line and a circle intersect at $A$ and $B,$ as shown below. Find the distance between $A$ and $B$.
The circle is x^2 + y^2 = 1, and the line is y = x.
+1277
A line and a circle intersect at A and B as shown below. Find the distance between and A and B.
The circle is x^2 + y^2 = 1, and the line is y = x.
x2 + y2 = 1 draws a circle with radius 1, centered at (0,0).
y = x draws a straight line through (0,0).
Since the line goes through the center of the circle, it creates a diameter.
Since the circle has radius 1, its diameter, the distance between A & B = 2.
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